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CGamma

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Returns , the value of the gamma function evaluated for a complex number, . The gamma function,  is defined as:

 

 

It can thought of as an extension of the factorial function, but offset by one, since it satisfies the following recurrence relationship: .

 

The Nematrian website calculates this value using a Lanczos approximation and a reflection formula, see MnGamma.

 

For details of how to pass complex numbers to and from the Nematrian website and on principal values of complex-valued functions please see Complex Numbers Introduction.

 

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